Details

analyze368.0ms (12%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample44.0ms (1.4%)

Algorithm

1×

intervals

Results

11.0ms	25×	body	1280	valid
11.0ms	181×	body	80	valid
8.0ms	31×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series22.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (+ x (sin y)) (* z (cos y)))
11.0ms	(* z (cos y))

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4958	304
1	4958	304

prune55.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series80.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
19.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5025	459

prune114.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.1b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
8.0ms	(* z (pow (pow (cos y) 2) 1/3))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series50.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (cos y))
19.0ms	(* z (pow (pow (cos y) 2) 1/3))
7.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4852	621
1	4852	621

prune155.0ms (5.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 0b

Counts

107 → 6

localize20.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
0.2b	(pow (cos y) 2)
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`add-exp-log`
55×	`prod-exp`
46×	`pow-exp`
24×	`pow-to-exp`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`add-cbrt-cube`
6×	`pow1` `pow-unpow`
4×	`add-log-exp` `sqr-pow`
3×	`cbrt-prod` `cbrt-unprod` `unpow2`
2×	`pow-pow`
1×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 100

Calls

4 calls:

11.0ms	(* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
2.0ms	(pow (cos y) 2)
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series46.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
17.0ms	(cbrt (cos y))
6.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4975	765
1	4975	765

prune228.0ms (7.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes246.0ms (8%)

Accuracy

Total 0.0b remaining (56.8%)

Threshold costs 0.0b (56.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample1.3s (43.1%)

Algorithm

1×

intervals

Results

428.0ms	931×	body	1280	valid
346.0ms	5583×	body	80	valid
234.0ms	846×	body	640	valid
78.0ms	417×	body	320	valid
30.0ms	222×	body	160	valid
1.0ms	1×	body	2560	valid

Details

analyze368.0ms (12%)

sample44.0ms (1.4%)

simplify3.0ms (0.1%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite11.0ms (0.3%)

series22.0ms (0.7%)

simplify59.0ms (1.9%)

prune55.0ms (1.8%)

localize13.0ms (0.4%)

rewrite11.0ms (0.4%)

series80.0ms (2.6%)

simplify49.0ms (1.6%)

prune114.0ms (3.7%)

localize16.0ms (0.5%)

rewrite23.0ms (0.7%)

series50.0ms (1.6%)

simplify64.0ms (2.1%)

prune155.0ms (5.1%)

localize20.0ms (0.7%)

rewrite21.0ms (0.7%)

series46.0ms (1.5%)

simplify39.0ms (1.3%)

prune228.0ms (7.4%)

regimes246.0ms (8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.3s (43.1%)

Profiling